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Linear complementarity, linear and nonlinear programming
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The article was published on 1988-01-01 and is currently open access. It has received 1012 citations till now. The article focuses on the topics: Mixed complementarity problem & Complementarity theory.read more
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From Imitation Games to Kakutani
Andrew McLennan,Rabee Tourky +1 more
TL;DR: In this paper, the authors give a full proof of the Kakutani (1941) fixed point theorem that is brief, elementary, and based on game theoretic concepts, which points to a new family of algorithms for computing approximate fixed points that have advantages over simplicial subdivision methods.
On the modeling, simulation, and visualization of many-body dynamics problems with friction and contact
TL;DR: This thesis focuses on two approaches to improve many-body dynamics simulation capabilities, both by increasing the size of tractable problems and by increase the solution speed.
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An efficient adaptive finite element method algorithm with mass conservation for analysis of liquid face seals
TL;DR: In this article, an adaptive finite element method (FEM) algorithm with mass conservation was presented, in which a streamline upwind/Petrov-Galerkin (SUPG) weighted residual FEM and a fast iteration algorithm were applied to solve the lubrication equations (Reynolds equation).
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An exponential lower bound on the complexity of regularization paths
TL;DR: In this article, it was shown that for the SVM, the complexity of the solution path can be exponential in the number of training points in the worst case when the regularization parameter changes.
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Global uniqueness and solvability of tensor complementarity problems for ℋ+$\mathcal {H}_{+}$-tensors
TL;DR: It is proved that the presented nonlinear dynamical system models are stable in the sense of Lyapunov stability theory for considering three classes of structured tensors for solving the tensor complementarity problem (TCP).